Five Statements

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Inspector Lestrade shared five statements with Sherlock Holmes, given by suspects at the scene of a murder.
Mrs May said, "I did not do it."
Uncle Jeff said, "Uncle Jim committed the murder."
Mr Taylor said, "It was not Miss Brown."
Uncle Jim said, "Uncle Jeff is lying when he says I did it."
Miss Brown said, "Mrs May is telling the truth."
It was later determined that only three of the statements were true.

Who did Sherlock Holmes deduce was the murderer?

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Answer to previous riddle: The murderer was an executioner who was just doing his job.

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